A circle's center is at $(2 ,7 )$ and it passes through $(6 ,4 )$ . What is the length of an arc covering $( pi ) /3$ radians on the circle?

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Answer 1 · 2016-01-29T05:45:52

$( 5 pi ) / 3$

Please check my solution here for a detailed explanation.

Solution
Radius $r = sqrt( (6 - 2)^2 + (4 - 7)^2 ) = 5$ .
Arc length $S = ( 5 pi ) / 3$ .

A circle's center is at (2 ,7 )(2 ,7 ) and it passes through (6 ,4 )(6 ,4 ). What is the length of an arc covering ( pi ) /3 ( pi ) /3 radians on the circle?